Question

evaluate by using suitable identities
${65}^{2}$
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Answer 1

65^2=(100-35)^2
Using (a-b)^2=a^2-b^2-2ab
65^2=100^2+35^2-2*100*35
65^2=10000+1225-7000
65^2=4225

Answer 2

Your answer is as follows:-

${65}^{2} \\ = {(60 + 5)}^{2} \\ = {(a + b)}^{2} \\ = {a}^{2} + {b}^{2} + 2ab \\ = {60}^{2} + {5}^{2} + 2.60.5 \\ = 3600 + 25 + 600 \\ = 4200 + 25 \\ = 4225.(ans)$

.HOPE IT IS HELPFUL .☺